The MLE of the parameter of the exponential population from the censored observations is considered. The Edgeworth expansions for the Studentized MLE are established by representing the relevant statistic as a U\|stat...
The study of perturbed (smoothed) empirical distribution has received considerable at-tention. The monograph by Reiss gives a particularly lucid exposition of the mathematical attractions of smoothing the empirical di...
Let {ω(t), t∈[0, 1]} be the standard d-dimensional Brownian motion. Set Ct (ω)={ω(s), O≤s≤t}(t∈[O, 1]) and call {Ct, t∈[0, 1]} the Brownian convex hull. Early in 1956, Levy got th...
Let X and Y be real Hilbert spaces and A: X→Y be a bounded linear operator with nonclosed range R(A). If y∈ D(A^+)=R(A)+R(A)~⊥, there exists a unique Moore-Penrose generalized solution to the equation Ax=y. In prac...
Project supported by the National Natural Science Foundation of China.
Which graphs are 1-factorizable? In other words, which graphs are regular graphs of class 1? It is an interesting open problem. The importance and difficulty of this problem become apparent when we realize that the fo...
Ⅰ. INTRODUCTIONLet ◇ denote the diamond principle, □ the box principle, ST_k a Suslin_k-tree. The report presents a new thorough relation between the above combinatorial principles and the Suslin_k-trees.